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Added by Arxiv Bot | Added: 2026-03-02 18:02 | Views: 1 | Source: arXiv Dataset IDs (Model)

Stationary mKdV hierarchy and integrability of the Dirac equations by quadratures

Authors	Renat Zhdanov, Ihor Revenko, Wilhelm Fushchych
Categories	solv-int nlin.SI
ArXiv ID	solv-int/9705011
URL	https://arxiv.org/abs/solv-int/9705011
DOI	10.1016/S0375-9601(98)00114-5

Abstract

Using the Lie's infinitesimal method we establish that the Dirac equation in one variable is integrable by quadratures if the potential V(x) is a solution of one of the equations of the stationary mKdV hierarchy.

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    "abstract": "Using the Lie\u0027s infinitesimal method we establish that the Dirac equation in\none variable is integrable by quadratures if the potential V(x) is a solution\nof one of the equations of the stationary mKdV hierarchy.",
    "arxiv_id": "solv-int/9705011",
    "authors": [
      "Renat Zhdanov",
      "Ihor Revenko",
      "Wilhelm Fushchych"
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    "categories": [
      "solv-int",
      "nlin.SI"
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    "doi": "10.1016/S0375-9601(98)00114-5",
    "title": "Stationary mKdV hierarchy and integrability of the Dirac equations by   quadratures",
    "url": "https://arxiv.org/abs/solv-int/9705011"
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